Math 4111, Fall, 2020
Dept. of Mathematics, Washington Univ.
Syllabus for Math 4111
Instructor: Steven G. Krantz
Classroom: The course will be taught OnLine only. No classroom.
e-mail address: firstname.lastname@example.org
Office: 103, Cupples I
Office Hour: Monday, Wednesday, Friday from 2:00pm to 4:00pm, either by email or phone (510-875-8972).
Phone: (510) 875-8972
Dept. Office: 100, Cupples I
Dept. Phone: (314) 935-6760
Course Home Page: http://www.math.wustl.edu/~sk/math4111.html
Course Description: The purpose of this course is
to serve as a rigorous introduction to analysis on the real number system.
We construct the real numbers from scratch, and we prove their fundamental properties.
We study a number of important and famous theorems such as the Weierstrass approximation theorem,
the Weierstrass nowhere differentiable function, the intermediate value theorem,, and
and so forth. This class is hard work, and it is demanding. But it is worth it.
Textbook: S. G. Krantz, Real Analysis and Foundations,
4th edition, CRC Press, Boca Raton, FL, 2016.
Elements of the Course:
Homework: 25% of grade
Midterm Exam: (2 of these) each 25% of grade
Final Exam: 25% of grade
The homework is an essential part of this course. Each new idea
builds on previous ideas, so it is essential to master and internalize each
one when you encounter it. Be sure to do the homework in a regular and timely
fashion. Homework should be written out on 8.5" x 11" paper and submitted
on time. It will be graded. We will use the CrowdMark system for submitting
homework. What you will do then is scan your homework and submit it OnLine.
When a homework assignment is formulated, CrowdMark
will let you know and tell you how to submit..
Be familiar with this Web page. This is where homework assignments will be
posted, homework solutions posted, exam solutions posted, due dates will be posted,
and also where exams and other course events and information
will be announced.
We will decide when our midterm exams will be.
If there are particular days when you do not want an exam (for a religious
holiday or other reason), please let me know.
FIRST HOMEWORK ASSIGNMENT due Monday, September 28 at 11:59pm.
1, 2, 3, 4, 5, 7, 11
2, 3, 5, 7, 8, 9, 10, 13
SECOND HOMEWORK ASSIGNMENT due Monday, October 12 at 11:59pm.
1, 2, 3, 8, 10, 11, 12.
1, 2, 4, 8.